PSLE On Wednesday, the number of children to men to women visiting a tourist attraction was 1 : 4 : 12. On Thursday, the number of children visiting the tourist attraction remained the same. However, the number of men increased by 50% and the number of women decreased by 50%.
- What was the ratio of the number of children to men to women visiting the tourist attraction on Thursday?
- On Wednesday, 352 men and women visited the tourist attraction. What was the total number of visitors at the tourist attraction on Thursday?
|
Children |
Men |
Women |
Before |
1 u |
4 u |
12 u |
Change |
|
+ 2 u |
- 6 u |
After |
1 u |
6 u |
6 u |
(a)
Increase in the number of men
= 50% x 4 u
=
50100 x 4 u
= 2 u
Decrease in the number of women
= 50% x 12 u
=
50100 x 12 u
= 6 u
Number of men on Thursday
= 4 u + 2 u
= 6 u
Number of women on Thursday
= 12 u - 6 u
= 6 u
On Thursday
Children : Men : Women
1 : 6 : 6
(b)
Number of men and women on Wednesday
= 4 u + 12 u
= 16 u
16 u = 352
1 u = 352 ÷ 16 = 22
Total number of visitors on Thursday
= 1 u + 6 u + 6 u
= 13 u
= 13 x 22
= 286
Answer(s): (a) 1 : 6 : 6; (b) 286